Statistics
Probability

# If two coins are tossed 50 times how many times do you expect to get two heads?

###### Answered 2009-07-16 14:53:14

This is a binomial probability distribution The probability of exactly 2 heads in 50 coin tosses of a fair coin is 1.08801856E-12. If you want to solve this for how many times 50 coin tosses it would take to equal 1 time for it to occur, take the reciprocal, which yields you would have to make 9.191019648E11 tosses of 50 times to get exactly 2 heads (this number is 919,101,964,800 or 919 billion times). If you assume 5 min for 50 tosses and 24 hr/day tossing the coin, it would take 8,743,360 years. That is the statistical analysis. As an engineer, looking at the above analysis, I would say it is almost impossible flipping the coin 50 times to get exactly 2 heads or I would not expect 2 heads on 50 coin tosses. So, to answer your question specifically, I would say none.

๐
0
๐คจ
0
๐ฎ
0
๐
0

## Related Questions

Half the time they will be the same, half the time they will be different. Half of the time that they're the same they will be heads, half the time they are the same they will be tails. It's your homework, YOU figure it out. The way I figure it. There are four options: 1) heads / heads 2) heads / tails 3) tails / heads 4) tails / tails By process of chance, one out of four times both coins will be heads/heads. Therefore 780/4 = 195 times.

Less. The more times the coin is tossed, the more likely it will reflect the actual odds of .5 heads and .5 tails.

The probability of a heads is 1/2. The expected value of independent events is the number of runs times the probability of the desired result. So: 100*(1/2) = 50 heads

The theoretical probability of HT or TH when two coins are tossed is 1/2 . (All possible outcomes are HH,TT,HT,TH). This means that when we run the experiment repeatedly we expect to get the desired result 1/2 of the time. Since you intend to toss the coins 40 times, 20 are expected.

If we toss three coins 240 times, how many times can we expect the coins to have three tails showing?

Each coin has 2 outcomes. Either being heads or tails. Take the outcome of each coin to the root of the number of coins. (1/2)^3 = .125 = 12.5% or a 1 in 8 chance. Take .125 and times it by 100 to get the probability out off 100 times. .125 x 100 = .125 which = 12.5%= 1 in 8 chance

0.5, 1/2, 50% The probability for heads versus tails does not change based on the amount of times the coin is tossed. It will always be a 50% chance.

When two fair coins are tossed, you have the following possible outcomes: HH, HT, TH, TT. So, at most implies that you get either i) zero heads or ii) one head. From the possible outcomes we see that 3 times we satisify the outcome. Thus, probability of at most one head is 3/4.

With 5 coin tosses there are 32 possible outcomes. 10 of these have exactly 2 heads, and 26 of these have 2 or more heads.For exactly two coins are heads: 10/32 = 31.25%For two or more heads: 26/32 = 81.25%

Out of the 1,000 tosses, you should expect to see 2 heads 250 times (1/4 of them), 2 tails 250 times (1/4 of them), and one of each 500 times (1/2 of them). Out of the 2,000 coin faces that show, you should expect to see very close to 1,000 heads (1/2 of them) and 1,000 tails (1/2 of them).

Since a coin has two sides and it was tossed 5 times, there are 32 possible combinations of results. The probability of getting heads three times in 5 tries is 10/32. This is 5/16.

The odds that a tossed coin will land tails side down remain one in two no matter how many times the coin has previously been tossed.

There is 24 or 16 outcomes. There is 4 ways to get heads once (HTTT &amp; THTT &amp; TTHT &amp; TTTH). So, the probability of getting heads only once if a fair coin is tossed 4 times is 4/16 or 1/4.

The question is unclear. What do you mean by "almost heads". Please restate the question.

The number of times a coin is tossed does not alter the probability of getting heads, which is 50% in every case, as long as the coin has not been rigged (i.e., a double-headed coin, a weighted coin) to alter the result.

you have 63 chances out of 64. i once witnessed a coin being tossed seven times and giving up 7 consecutive heads. we never tried it an eighth time, 7 heads and you had to go to the bar.

The answer depends on how many times the coin is tossed. The probability is zero if the coin is tossed only once! Making some assumptions and rewording your question as "If I toss a fair coin twice, what is the probability it comes up heads both times" then the probability of it being heads on any given toss is 0.5, and the probability of it being heads on both tosses is 0.5 x 0.5 = 0.25. If you toss it three times and want to know what the probability of it being heads exactly twice is, then the calculation is more complicated, but it comes out to 0.375.

If a fair coin is tossed 5 times, the probability of getting 5 heads is:P(H,H,H,H,H) = (1/2)5 = 1/32 = 0.03125 = 3.125% &acirc;&permil;&circ; 3.1%

###### Math and ArithmeticStatisticsProbabilityWord Brain Teasers

Copyright ยฉ 2021 Multiply Media, LLC. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Multiply.